3672778560 has 112 divisors (see below), whose sum is σ = 12721205952. Its totient is φ = 890368000.

The previous prime is 3672778547. The next prime is 3672778567. The reversal of 3672778560 is 658772763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672778567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163341 + ... + 184460.

It is an arithmetic number, because the mean of its divisors is an integer number (113582196).

Almost surely, 2^3672778560 is an apocalyptic number.

3672778560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3672778560 is an abundant number, since it is smaller than the sum of its proper divisors (9048427392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3672778560 is a wasteful number, since it uses less digits than its factorization.

3672778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347832 (or 347822 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The square root of 3672778560 is about 60603.4533669493. The cubic root of 3672778560 is about 1542.8779824738.

The spelling of 3672778560 in words is "three billion, six hundred seventy-two million, seven hundred seventy-eight thousand, five hundred sixty".